Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem

Abstract

We show that the recently discovered logarithmic terms in the soft graviton theorem induce a late time component in the gravitational wave-form that falls off as inverse power of time, producing a tail term to the linear memory effect.

8 pages, v3 : Discussion on Non-relativistic limit changed, references added

References in corpus (7)

• Asymptotic symmetries and subleading soft graviton theorem
• The gravitational-wave memory effect
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Nonlinear gravitational-wave memory from binary black hole mergers
• Logarithmic Terms in the Soft Expansion in Four Dimensions
• Gravitational Memory in Higher Dimensions
• Gravity Waves from Soft Theorem in General Dimensions

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